A 20-point fourth-quarter performance at Raymond James Stadium saw the Florida outfit storm home to take a 30-24 win, improving to 8-8 for the season.
It is a second straight division title for the Buccaneers, who will have the chance to finish the season with a winning record when they face the Atlanta Falcons in Week 18.
Brady, who threw for 432 yards and delivered three long touchdowns to Mike Evans, saw his side dig themselves out for the second week in a row, leaving him to ponder if they bring their struggles upon themselves.
"NFL games are tough to win, and we always figure out a way to keep them somehow exciting," he said afterwards. "I wish they wouldn't be as exciting as we made them.
"We've battled through a lot of tough things this year [but we are] happy to win the division. It's always tough to do it."
Head coach Todd Bowles concurred his team like to make things difficult, but acknowledged their success proved to be the ultimate prize, regardless of how they claimed it.
"Every year, you try to win the division, and we won the division," he added. "It doesn't matter how you win the division. My heart ain't got much left in it, but it feels great.
"We're in one spot we need to be. We can't get where we want to be unless we win the division. We won the division."